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Mathematics 19 Online
OpenStudy (anonymous):

HELP ME PLEASE!! Identify the 35th term of an arithmetic sequence where a1 = -7 and a18 = 95

hartnn (hartnn):

so you know the formula for n'th term of arithmetic sequence ?

OpenStudy (anonymous):

no I don't know

hartnn (hartnn):

\(\Large a_n = a_1 + (n-1)d\) where an is the n'th term a1 is the 1st term d = common difference n = number of terms

OpenStudy (anonymous):

common difference is d=6

OpenStudy (anonymous):

now further is all substitution

hartnn (hartnn):

lets use this formula and find 'd' first we have a18 = 95 so plug in n=18 an =95 a1= -7 in the formula and tell me what u get for 'd'

hartnn (hartnn):

aryan let her try

OpenStudy (anonymous):

ok fine )

OpenStudy (anonymous):

is it 9.5?

OpenStudy (anonymous):

@hartnn

hartnn (hartnn):

9.5 for what ? d?

OpenStudy (anonymous):

yes

hartnn (hartnn):

thats not correct are you sure you solved this : \(\Large 95=-7 +17d\)

OpenStudy (anonymous):

nope that's definitely not what I solved lol. but is it 6?

hartnn (hartnn):

yes, d=6

hartnn (hartnn):

now use the same formula to get 35th term plug in n=35 a1= -7 d=6 in the formula

OpenStudy (anonymous):

is the answer 197?

hartnn (hartnn):

\(\huge \checkmark \)

OpenStudy (anonymous):

thank you !

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